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344324423423040 = 2635379693818227
BaseRepresentation
bin100111001001010010100011…
…0111100100001010001000000
31200011011002112002110202202120
41032102211012330201101000
5330112402404344014130
63220152242330244240
7132345422125251354
oct11622450674412100
91604132462422676
10344324423423040
119a7921935596a5
1232750468886680
1311a188665459c8
146105568d2d464
1529c1a05e74910
hex1392946f21440

344324423423040 has 112 divisors (see below), whose sum is σ = 1122776802439872. Its totient is φ = 89338228770816.

The previous prime is 344324423423023. The next prime is 344324423423107. The reversal of 344324423423040 is 40324324423443.

It is a junction number, because it is equal to n+sod(n) for n = 344324423422983 and 344324423423001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4846873594 + ... + 4846944633.

Almost surely, 2344324423423040 is an apocalyptic number.

344324423423040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344324423423040 is an abundant number, since it is smaller than the sum of its proper divisors (778452379016832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

344324423423040 is a wasteful number, since it uses less digits than its factorization.

344324423423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9693818284 (or 9693818274 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 42.

Adding to 344324423423040 its reverse (40324324423443), we get a palindrome (384648747846483).

The spelling of 344324423423040 in words is "three hundred forty-four trillion, three hundred twenty-four billion, four hundred twenty-three million, four hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 148 160 185 192 222 240 296 320 370 444 480 555 592 740 888 960 1110 1184 1480 1776 2220 2368 2960 3552 4440 5920 7104 8880 11840 17760 35520 9693818227 19387636454 29081454681 38775272908 48469091135 58162909362 77550545816 96938182270 116325818724 145407273405 155101091632 193876364540 232651637448 290814546810 310202183264 358671274399 387752729080 465303274896 581629093620 620404366528 717342548798 775505458160 930606549792 1076013823197 1163258187240 1434685097596 1551010916320 1793356371995 1861213099584 2152027646394 2326516374480 2869370195192 3102021832640 3586712743990 4304055292788 4653032748960 5380069115985 5738740390384 7173425487980 8608110585576 9306065497920 10760138231970 11477480780768 14346850975960 17216221171152 21520276463940 22954961561536 28693701951920 34432442342304 43040552927880 57387403903840 68864884684608 86081105855760 114774807807680 172162211711520 344324423423040